A219678 Number of tripartite partitions of (n,n,n) into triples.

1, 5, 66, 686, 6721, 58616, 476781, 3608348, 25781989, 174810494, 1132328205, 7037425172, 42140788751, 243918472743, 1368647208107, 7462686474948, 39626100989332, 205283558905562, 1039263967957447, 5149048724566723, 24998922141116056, 119073277412589351

Offset: 0

Author

Alois P. Heinz, Nov 26 2012

Keywords

• nonn

Comments

a(n) is also the number of factorizations of m^n where m is a product of 3 distinct primes. a(1) = 5: (2*3*5)^1 = 30 has 5 factorizations: 30, 5*6, 3*10, 2*3*5, 2*15.

Examples

			a(1) = 5: [(1,1,1)], [(1,1,0),(0,0,1)], [(1,0,1),(0,1,0)], [(1,0,0),(0,1,0),(0,0,1)], [(0,1,1),(1,0,0)].
		

Links

• Sean A. Irvine, Table of n, a(n) for n = 0..29

Crossrefs

Column k=3 of A219727.

Cf. A219560.

Extensions

More terms from Sean A. Irvine, Aug 14 2014